Carl, Bryan and Perry had some beads in the ratio of 3 : 4 : 7. Perry gave 40% of his beads to Carl and Bryan. As a result, Carl had the same number of beads as Bryan and Perry had 28 fewer beads than Carl.

1. What was the percentage increase in Carl's beads after receiving from Perry?
2. How many beads did Bryan have at first?

Carl	Bryan	Perry	Total
3 u	4 u	7 u	14 u
+ 2.8 u		- 2.8 u
4.9 u	4.9 u	4.2 u	14 u

(a)
Number of beads that Perry gave away
= 40% x 7
= ⁴⁰₁₀₀ x 7
= 2.8 u

Number of beads that Carl and Bryan each had in the end
= (14 u - 4.2 u) ÷ 2
= 9.8 u ÷ 2
= 4.9 u

Increase in the number of beads that Carl had
= 4.9 u - 3 u
= 1.9 u

Percentage increase in Carl's beads after receiving from Perry
= ^1.9₃ x 100%
= 63.333333333333%

(b)
4.9 u = 4.2 u + 28
4.9 u - 4.2 u = 28
0.7 u = 28

1 u = 28 ÷ 0.7 = 40

Number of beads that Bryan had at first
= 4 u
= 4 x 40
= 160

Answer(s): (a) 63.333333333333%; (b) 160